Five-Minute Check (over Lesson 6–2)

Then/Now

New Vocabulary

Example 1: Real-World Example: Use Dimensional Analysis

Example 2: Real-World Example: Convert Rates

Key Concept: Measurement Conversions

Example 3: Convert Measurements Between Systems

Example 4: Real-World Example: Convert Rates Between Systems

Over Lesson 6–2

A. 53.1 mi/h

B. 52.1 mi/h

C. 51.1 mi/h

D. 50.1 mi/h

Express the rate as a unit rate. Round to the nearest tenth if necessary.230 miles in 4.5 hours

Over Lesson 6–2

A. 1.8 pages/min

B. 1.6 pages/min

C. 1.4 pages/min

D. 1.2 pages/min

Express the rate as a unit rate. Round to the nearest tenth if necessary.54 pages in 30 minutes

Over Lesson 6–2

A. $0.98/popsicle

B. $0.96/popsicle

C. $0.94/popsicle

D. $0.92/popsicle

Express the rate as a unit rate. Round to the nearest tenth if necessary.$4.80 for 5 popsicles

Over Lesson 6–2

A. 1.7 steps/s

B. 1.6 steps/s

C. 1.5 steps/s

D. 1.4 steps/s

Express the rate as a unit rate. Round to the nearest tenth if necessary.25 steps in 18 seconds

Over Lesson 6–2

A. 8 h 30 min

B. 8 h 14 min

C. 7 h 12 min

D. 6 h 52 min

In 4 hours, Richard can wash 5 cars. At this rate, how long will it take him to wash 9 cars? Write your answer in hours and minutes.

Over Lesson 6–2

A. 13 miles

B. 12 miles

C. 7 miles

D. 6 miles

Jim walked at a rate of 4 miles per hour for 1.5 hours and then 3 miles per hour for 2 hours. How far did he walk in all?

You have already learned to find unit rates. (Lesson 6–2)

• Convert rates using dimensional analysis.

• Convert between systems of measurement.

• dimensional analysis

Use Dimensional Analysis

Convert 520 miles per year to miles per month.

You need to convert miles per year to miles per month. Use 1 year = 12 months.

Divide out common units.

Simplify.

Use Dimensional Analysis

Answer: So, 520 miles per year is equivalent to about 43.3 miles per month.

A. 2 mi/min

B. 2 min/mi

C. 5 mi/min

D. 5 min/mi

Convert 120 miles per hour to miles per minute.

Convert Rates

SWIMMING POOL A swimming pool is being filled with water at about 300 gallons per hour. How many quarts per second is this?

You need to convert gallons per hour to quarts per second.

Use 1 gal = 4 qt and 1 hr = 3600 s.

Convert Rates

Divide the common factors and units.

Multiply.

Simplify.

Answer: So, 300 gallons per hour is equivalent to about 0.3 quart per second.

A. 88 ft/min

B. 880 ft/min

C. 1056 ft/min

D. 5280 ft/min

A train travels 1440 miles per day. How many feet per minute is this?

Convert Measurements Between Systems

A. Convert 4 pounds to kilograms. Round to the nearest hundredth.

Use 1 pound ≈ 0.454 kilogram.

Divide out common units, leaving kilograms.

Simplify.

4 lb ≈

≈ 1.82 kg

Answer: So, 4 pounds is approximately 1.82 kilograms.

Convert Measurements Between Systems

B. Convert 15 meters to feet. Round to the nearest hundredth.

Use 1 m ≈ 3.279 ft.

Divide out common units, leaving feet.

Simplify.

Answer: So, 15 meters is approximately 49.19 feet.

A. 0.153 m

B. 1.53 m

C. 1.70 m

D. 16.40 m

A. About how many meters are equal to 5 feet?

A. 3.31 qt

B. 7.66 qt

C. 7.40 qt

D. 14.80 qt

B. About how many quarts are equal to 7 liters?

Convert Rates Between Systems

CYCLING A cyclist is cycling about 3 kilometers per hour. Rounded to the nearest hundredth, how many feet per second is this?

Use 1 km ≈ 0.621 mi, 1 mi = 5280 ft, and 1 hr = 3600 s.

Divide out common units.

Simplify.

Convert Rates Between Systems

Answer: So, 3 kilometers per hour is approximately 2.73 feet per second.

A. 0.018 km/s

B. 0.198 km/s

C. 1.073 km/s

D. 64.36 km/s

A car is traveling 40 miles per hour. About how many kilometers per second is this?